Answer:
What is the question?
Step-by-step explanation:
Using the pythagorean identity, we can find the value of sin(A)
cos^2(A) + sin^2(A) = 1
(12/13)^2 + sin^2(A) = 1
144/169 + sin^2(A) = 1
sin^2(A) = 1 - 144/169
sin^2(A) = 169/169 - 144/169
sin^2(A) = (169 - 144)/169
sin^2(A) = 25/169
sin(A) = sqrt(25/169)
sin(A) = 5/13
Which is then used to find tan(A)
tan(A) = sin(A)/cos(A)
tan(A) = (5/13) divided by (12/13)
tan(A) = (5/13)*(13/12)
tan(A) = (5*13)/(13*12)
tan(A) = 5/12
The final answer is 5/12
Answer:
(i) She gives each student a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a posttest. The teacher wants to see if the difference in scores will show an improvement.
Step-by- Step
The situation is a case of matched or paired samples since the samples are dependent. The two measurements are drawn from the same pair of individuals The parameter that is tested using matched pairs is the population mean and this is what teacher intends to use a hypothesis test for.
Y = a (b^x)
1) x = 0, y = 3500
=> 3500 = a (b^0)
=> 3500 = a (1)
=> a = 3500
2) growth percent = 3.5% => growth rate = 1.035 = b
=> y = 3500 (1.035)^ x
3) year 2020 => x = 2020 - 2000 = 20
4) y = 3500 (1.035)^ 20 = 6964
Answer: 6964.
